Math with Professor V Courses

Applications of Nonlinear Differential Equations - Logistic Growth Model - Lesson 3.3

Master the practical applications of logistic growth models in differential equations through real-world population predictions and comparisons with natural growth laws.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Solving Linear Differential Equations - Five Examples

Master solving linear differential equations through five practical examples demonstrating various integration techniques and problem-solving strategies.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Calculus 2 Exam Review - Areas, Volumes by Slicing, and Integration

Master advanced calculus concepts through a detailed exam walkthrough covering areas between curves, volume calculations, integration techniques, and practical applications.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Differential Equations Exam Solutions - Separable, Exact, and Linear Equations - Spring 2025

Master essential differential equation techniques through detailed exam solutions covering separable equations, linear systems, homogeneous equations, exact differentials, and orthogonal trajectories.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Mastering Trigonometric Substitution for Integration - A Step-by-Step Guide

Master trigonometric substitution techniques for solving complex integration problems through step-by-step examples, from basic concepts to challenging applications in calculus.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Solving Complex Integrals Using Trigonometric Substitution - February 18, 2025

Master solving complex integrals through trigonometric substitution with a step-by-step walkthrough of ∫x^5/sqrt(x^2 + 2) dx, perfect for intermediate calculus students.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Definition of a Limit - Bridging the Gap from Precalculus to Calculus - Lecture 2.1

Explore the formal definition of limits, a foundational calculus concept that bridges precalculus and calculus, building both conceptual understanding and technical skills.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Integral of the Day 5.30.25 - It LOOKS Worse Than It Is! Can You Solve It?

Master a challenging integral that appears more complex than it actually is through step-by-step problem-solving techniques and mathematical insights.

• YouTube
• 11 minutes
• Self-Paced
• Free Video

Mastering Rational Function Integrals: When Long Division Comes First

Master the technique of solving rational function integrals using polynomial long division before partial fractions. Learn when to apply this method, how to simplify complex integrals, and avoid common mistakes through five detailed examples.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Sequences and Series Exam from Calculus 2 - Part 1

Dive into a comprehensive exam walkthrough on sequences and series from Calculus 2, with step-by-step solutions and explanations from Professor V in this engaging tutorial.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Integral Evaluation Using Trigonometric Substitution - Day 3

Master complex integration techniques by solving ∫ x^2 /(3 + 4x - 4x^2 )^(3/2) dx with detailed step-by-step guidance and expert explanations from an experienced mathematics educator.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

Solving the Integral ∫1/(sinx+cosx)^2 dx - Countdown to 2025 Day 1

Master advanced integration techniques by solving ∫1/(sinx+cosx)^2 dx through two distinct methods, with clear step-by-step explanations and practical applications in calculus.

• YouTube
• 12 minutes
• Self-Paced
• Free Video

Integral of the Day - Solving sin(4x)*e^(tanx)^2 dx - January 23, 2025

Master complex integration techniques through a challenging problem involving trigonometric functions and exponentials, with step-by-step guidance on solving ∫(sin(4x)*e^(tanx)^2)dx.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

The Tangent and Velocity Problems - Beginning Your Calculus Journey

Explore fundamental calculus concepts through tangent line and velocity problems, learning to approximate slopes and instantaneous velocities using secant lines and average velocity calculations.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Green's Theorem, Curl, and Divergence - Raw Homework Help

Experience raw, unfiltered Calculus 3 homework help covering Green's Theorem, curl, and divergence with live classroom problem-solving and real-time explanations.

• YouTube
• 15 minutes
• Self-Paced
• Free Video